What is the Greatest Common Factor of 72744 and 72751?

Greatest common factor (GCF) of 72744 and 72751 is 7.

GCF(72744,72751) = 7

We will now calculate the prime factors of 72744 and 72751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72744 and 72751.

How to find the GCF of 72744 and 72751?

We will first find the prime factorization of 72744 and 72751. After we will calculate the factors of 72744 and 72751 and find the biggest common factor number .

Step-1: Prime Factorization of 72744

Prime factors of 72744 are 2, 3, 7, 433. Prime factorization of 72744 in exponential form is:

72744 = 2³ × 3¹ × 7¹ × 433¹

Step-2: Prime Factorization of 72751

Prime factors of 72751 are 7, 19, 547. Prime factorization of 72751 in exponential form is:

72751 = 7¹ × 19¹ × 547¹

Step-3: Factors of 72744

List of positive integer factors of 72744 that divides 72744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 433, 866, 1299, 1732, 2598, 3031, 3464, 5196, 6062, 9093, 10392, 12124, 18186, 24248, 36372

Step-4: Factors of 72751

List of positive integer factors of 72751 that divides 72744 without a remainder.

1, 7, 19, 133, 547, 3829, 10393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72744 and 72751. The biggest common factor number is the GCF number.
So the greatest common factor 72744 and 72751 is 7.

Also check out the Least Common Multiple of 72744 and 72751